Gradient Shrinking Solitons with Vanishing Weyl Tensor

Abstract

In this paper, we will give a local version of the Hamilton-Ivey type pinching estimate of the gradient shrinking soliton with vanishing Weyl tensor, and then give a complete classification on gradient shrinking solitons with vanishing Weyl tensor.

10 pages

References in corpus (2)

• On rotationally invariant shrinking gradient Ricci solitons
• On the Completeness of Gradient Ricci Solitons

Cited by in corpus (2)

• The Curvature of Gradient Ricci Solitons
• On gradient Ricci solitons